Compressed air inters a gas turbine which produces a power output of $100$ W$.$ If the inlet state is $500$ kPa, $100\backslash$deg C$,$ assume values for pressure and temperature for the exit state. Considering the velocities to be low and the process to be adiabatic,

$-$ State all the assumptions for this process

$-$Show the process on the P$-$V diagram and find

$-$The required mass flow rate of air through the turbine.